Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 - Mathematics |
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Page 4
... given straight line , erected from a given point in the same . B 6. A straight line , which makes with a given straight line , A B , at a given point , A , an angle equal to a given rec- tilineal angle , C. LL The following truths ...
... given straight line , erected from a given point in the same . B 6. A straight line , which makes with a given straight line , A B , at a given point , A , an angle equal to a given rec- tilineal angle , C. LL The following truths ...
Page 9
... point D in the straight line DE , make the angle EDG equal to the angle BAC ( Post . 6. ) ; take DG equal to AC ... given straight line of indefinite length , from any given point without it ; but , from the same point , there cannot be ...
... point D in the straight line DE , make the angle EDG equal to the angle BAC ( Post . 6. ) ; take DG equal to AC ... given straight line of indefinite length , from any given point without it ; but , from the same point , there cannot be ...
Page 10
Let BC be a given straight line of indefinite length , and A any given point with- out it . A perpen- D E A F dicular may be drawn from the point A to the straight line B C. In B C take any point D ; join AD , and produce it to any ...
Let BC be a given straight line of indefinite length , and A any given point with- out it . A perpen- D E A F dicular may be drawn from the point A to the straight line B C. In B C take any point D ; join AD , and produce it to any ...
Page 11
... point , viz . the point of concourse . But ( 12. ) this is impossible . Therefore , AB cannot meet CD , though ... given , a straight line A B may be drawn through that point , which shall be parallel to a given straight line CD ( 12 ...
... point , viz . the point of concourse . But ( 12. ) this is impossible . Therefore , AB cannot meet CD , though ... given , a straight line A B may be drawn through that point , which shall be parallel to a given straight line CD ( 12 ...
Page 24
... point to any other point ; 2ndly , a terminated straight line may be ... given finite straight line A B. From the points A , B , as centres , with ... given finite straight line AB , which was required to be done . PROP . 43. Prob . 2 ...
... point to any other point ; 2ndly , a terminated straight line may be ... given finite straight line A B. From the points A , B , as centres , with ... given finite straight line AB , which was required to be done . PROP . 43. Prob . 2 ...
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Common terms and phrases
A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical